The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over Number Fields

نویسنده

  • Shinichi Mochizuki
چکیده

In [Tama], a proof of the Grothendieck Conjecture (reviewed below) was given for smooth affine hyperbolic curves over finite fields (and over number fields). The purpose of this paper is to show how one can derive the Grothendieck Conjecture for arbitrary (i.e., not necessarily affine) smooth hyperbolic curves over number fields from the results of [Tama] for affine hyperbolic curves over finite fields.

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تاریخ انتشار 1996